To draw and describe: The locus of points in the plane that are equidistant from parallel lines l and m.

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Answer 1

Question

Chapter 7.CT, Problem 1CT

To determine

To draw and describe:

The locus of points in the plane that are equidistant from parallel lines l and m.

Expert Solution & Answer

Answer to Problem 1CT

Solution:

The locus is in between both lines and is parallel to both.

Explanation of Solution

Definition:

A locus is set of all points and only those points that satisfy a given condition or set of conditions.

In must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

A locus maintains an equal distance from each line.

Thus, we obtain that the locus must be half way between the two lines. In addition, since it maintains a constant distance, it must be parallel to both.

From this we came to know that the locus equidistant from two parallel lines l and m, is a line parallel to both l and m and halfway between them.

Elementary Geometry for College Students, Chapter 7.CT, Problem 1CT

Conclusion:

The path formed by all points the same distance from two parallel lines will be one line halfway between the parallel lines.

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Answer 2

Question

Chapter 7.CT, Problem 1CT

To determine

To draw and describe:

The locus of points in the plane that are equidistant from parallel lines l and m.

Expert Solution & Answer

Answer to Problem 1CT

Solution:

The locus is in between both lines and is parallel to both.

Explanation of Solution

Definition:

A locus is set of all points and only those points that satisfy a given condition or set of conditions.

In must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

A locus maintains an equal distance from each line.

Thus, we obtain that the locus must be half way between the two lines. In addition, since it maintains a constant distance, it must be parallel to both.

From this we came to know that the locus equidistant from two parallel lines l and m, is a line parallel to both l and m and halfway between them.

Elementary Geometry for College Students, Chapter 7.CT, Problem 1CT

Conclusion:

The path formed by all points the same distance from two parallel lines will be one line halfway between the parallel lines.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 7.CT, Problem 1CT

To determine

To draw and describe:

The locus of points in the plane that are equidistant from parallel lines l and m.

Expert Solution & Answer

Answer to Problem 1CT

Solution:

The locus is in between both lines and is parallel to both.

Explanation of Solution

Definition:

A locus is set of all points and only those points that satisfy a given condition or set of conditions.

In must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

A locus maintains an equal distance from each line.

Thus, we obtain that the locus must be half way between the two lines. In addition, since it maintains a constant distance, it must be parallel to both.

From this we came to know that the locus equidistant from two parallel lines l and m, is a line parallel to both l and m and halfway between them.

Elementary Geometry for College Students, Chapter 7.CT, Problem 1CT

Conclusion:

The path formed by all points the same distance from two parallel lines will be one line halfway between the parallel lines.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 7.CT, Problem 1CT

To determine

To draw and describe:

The locus of points in the plane that are equidistant from parallel lines l and m.

Expert Solution & Answer

Answer to Problem 1CT

Solution:

The locus is in between both lines and is parallel to both.

Explanation of Solution

Definition:

A locus is set of all points and only those points that satisfy a given condition or set of conditions.

In must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

A locus maintains an equal distance from each line.

Thus, we obtain that the locus must be half way between the two lines. In addition, since it maintains a constant distance, it must be parallel to both.

From this we came to know that the locus equidistant from two parallel lines l and m, is a line parallel to both l and m and halfway between them.

Elementary Geometry for College Students, Chapter 7.CT, Problem 1CT

Conclusion:

The path formed by all points the same distance from two parallel lines will be one line halfway between the parallel lines.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 7.CT, Problem 1CT

To determine

To draw and describe:

The locus of points in the plane that are equidistant from parallel lines l and m.

Expert Solution & Answer

Answer to Problem 1CT

Solution:

The locus is in between both lines and is parallel to both.

Explanation of Solution

Definition:

A locus is set of all points and only those points that satisfy a given condition or set of conditions.

In must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

A locus maintains an equal distance from each line.

Thus, we obtain that the locus must be half way between the two lines. In addition, since it maintains a constant distance, it must be parallel to both.

From this we came to know that the locus equidistant from two parallel lines l and m, is a line parallel to both l and m and halfway between them.

Elementary Geometry for College Students, Chapter 7.CT, Problem 1CT

Conclusion:

The path formed by all points the same distance from two parallel lines will be one line halfway between the parallel lines.

Answer 6

Chapter 7.CT, Problem 1CT

To determine

To draw and describe:

The locus of points in the plane that are equidistant from parallel lines l and m.

Expert Solution & Answer

Answer to Problem 1CT

Solution:

The locus is in between both lines and is parallel to both.

Explanation of Solution

Definition:

A locus is set of all points and only those points that satisfy a given condition or set of conditions.

In must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

A locus maintains an equal distance from each line.

Thus, we obtain that the locus must be half way between the two lines. In addition, since it maintains a constant distance, it must be parallel to both.

From this we came to know that the locus equidistant from two parallel lines l and m, is a line parallel to both l and m and halfway between them.

Elementary Geometry for College Students, Chapter 7.CT, Problem 1CT

Conclusion:

The path formed by all points the same distance from two parallel lines will be one line halfway between the parallel lines.

Answer 7

Chapter 7.CT, Problem 1CT

To determine

To draw and describe:

The locus of points in the plane that are equidistant from parallel lines l and m.

Answer 8

Expert Solution & Answer

Answer to Problem 1CT

Solution:

The locus is in between both lines and is parallel to both.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Definition:

A locus is set of all points and only those points that satisfy a given condition or set of conditions.

In must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

A locus maintains an equal distance from each line.

Thus, we obtain that the locus must be half way between the two lines. In addition, since it maintains a constant distance, it must be parallel to both.

From this we came to know that the locus equidistant from two parallel lines l and m, is a line parallel to both l and m and halfway between them.

Elementary Geometry for College Students, Chapter 7.CT, Problem 1CT

Conclusion:

The path formed by all points the same distance from two parallel lines will be one line halfway between the parallel lines.

Answer 12

Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Prob. 3E Ch. 7.1 - In Exercises 3 to 8, use the drawing provided....Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...Ch. 7.1 - Note: Exercises preceded by an asterisk are of a...

To draw and describe: The locus of points in the plane that are equidistant from parallel lines l and m.

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To draw and describe:

The locus of points in the plane that are equidistant from parallel lines l and m.

Answer to Problem 1CT

Explanation of Solution

Want to see more full solutions like this?

Chapter 7 Solutions